Numerical simulation of nonlinear wave propagating in shallow water

The computation of nonlinear wave propagating in shallow water is the basic study of interaction between waves and ships in time domain. The mixed Eulerian Lagrangian procedure is adopted in this paper for the calculation of wave propagation. Meanwhile, the mixed 0 1 boundary element method is used to calculate the velocity potentials and their normal derivatives on the boundary. And the free surface boundary conditions are used for determining the time stepping integration of wave elevation. In addition, a damping layer or sponge layer is located at the free surface above the open boundary to absorb the wave energy. The numerical results show the nonlinear wave profile at different time. Finally, a brief analysis is done to compare the nonlinear waves and the linear waves in shallow water.